145468443456 has 336 divisors, whose sum is σ = 509616334080. Its totient is φ = 40547727360.

The previous prime is 145468443443. The next prime is 145468443469. The reversal of 145468443456 is 654344864541.

145468443456 is a `hidden beast` number, since 1 + 4 + 546 + 8 + 4 + 43 + 4 + 56 = 666.

It is an interprime number because it is at equal distance from previous prime (145468443443) and next prime (145468443469).

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×145468443456² (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).

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, 3450601 + ... + 3492503.

It is an arithmetic number, because the mean of its divisors is an integer number (1516715280).

Almost surely, 2^145468443456 is an apocalyptic number.

145468443456 is a gapful number since it is divisible by the number (16) 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 145468443456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254808167040).

145468443456 is an abundant number, since it is smaller than the sum of its proper divisors (364147890624).

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

145468443456 is a wasteful number, since it uses less digits than its factorization.

145468443456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41979 (or 41956 counting only the distinct ones).

The product of its digits is 22118400, while the sum is 54.

The spelling of 145468443456 in words is "one hundred forty-five billion, four hundred sixty-eight million, four hundred forty-three thousand, four hundred fifty-six".