145512444502656 has 576 divisors, whose sum is σ = 531457922792160. Its totient is φ = 37789316812800.

The previous prime is 145512444502627. The next prime is 145512444502661. The reversal of 145512444502656 is 656205444215541.

145512444502656 is a `hidden beast` number, since 1 + 4 + 5 + 5 + 124 + 4 + 4 + 502 + 6 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4816523391 + ... + 4816553601.

Almost surely, 2^{145512444502656} is an apocalyptic number.

145512444502656 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 145512444502656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265728961396080).

145512444502656 is an abundant number, since it is smaller than the sum of its proper divisors (385945478289504).

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

145512444502656 is a wasteful number, since it uses less digits than its factorization.

145512444502656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38013 (or 37991 counting only the distinct ones).

The product of its (nonzero) digits is 23040000, while the sum is 54.

The spelling of 145512444502656 in words is "one hundred forty-five trillion, five hundred twelve billion, four hundred forty-four million, five hundred two thousand, six hundred fifty-six".