145363164660 has 288 divisors, whose sum is σ = 527319217152. Its totient is φ = 31717370880.

The previous prime is 145363164601. The next prime is 145363164673. The reversal of 145363164660 is 66461363541.

145363164660 is a `hidden beast` number, since 1 + 4 + 5 + 3 + 631 + 6 + 4 + 6 + 6 + 0 = 666.

It is a super-2 number, since 2×145363164660² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2441445 + ... + 2500275.

It is an arithmetic number, because the mean of its divisors is an integer number (1830969504).

Almost surely, 2^145363164660 is an apocalyptic number.

145363164660 is a gapful number since it is divisible by the number (10) 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 145363164660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263659608576).

145363164660 is an abundant number, since it is smaller than the sum of its proper divisors (381956052492).

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

145363164660 is a wasteful number, since it uses less digits than its factorization.

145363164660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58943 (or 58938 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 145363164660 in words is "one hundred forty-five billion, three hundred sixty-three million, one hundred sixty-four thousand, six hundred sixty".