145807174656 has 880 divisors, whose sum is σ = 539283951360. Its totient is φ = 38578913280.

The previous prime is 145807174633. The next prime is 145807174663. The reversal of 145807174656 is 656471708541.

145807174656 is a `hidden beast` number, since 1 + 4 + 580 + 7 + 1 + 7 + 4 + 6 + 56 = 666.

145807174656 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 79 ways as a sum of consecutive naturals, for example, 225358525 + ... + 225359171.

It is an arithmetic number, because the mean of its divisors is an integer number (612822672).

Almost surely, 2^145807174656 is an apocalyptic number.

145807174656 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 145807174656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269641975680).

145807174656 is an abundant number, since it is smaller than the sum of its proper divisors (393476776704).

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

145807174656 is a wasteful number, since it uses less digits than its factorization.

145807174656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 722 (or 695 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 54.

The spelling of 145807174656 in words is "one hundred forty-five billion, eight hundred seven million, one hundred seventy-four thousand, six hundred fifty-six".