145814667264 has 720 divisors, whose sum is σ = 520602096000. Its totient is φ = 40317419520.

The previous prime is 145814667247. The next prime is 145814667281. The reversal of 145814667264 is 462766418541.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

145814667264 is a `hidden beast` number, since 1 + 4 + 58 + 1 + 466 + 72 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (145814667247) and next prime (145814667281).

It is a super-2 number, since 2×145814667264² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (7741440) is a multiple of the sum of its prime factors (120).

It is a self number, because there is not a number n which added to its sum of digits gives 145814667264.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4703698929 + ... + 4703698959.

Almost surely, 2^145814667264 is an apocalyptic number.

145814667264 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145814667264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260301048000).

145814667264 is an abundant number, since it is smaller than the sum of its proper divisors (374787428736).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

145814667264 is an frugal number, since it uses more digits than its factorization.

145814667264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 43 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 54.

The spelling of 145814667264 in words is "one hundred forty-five billion, eight hundred fourteen million, six hundred sixty-seven thousand, two hundred sixty-four".