493777170432 has 1248 divisors, whose sum is σ = 1892909957120. Its totient is φ = 120394874880.

The previous prime is 493777170427. The next prime is 493777170529. The reversal of 493777170432 is 234071777394.

493777170432 is a `hidden beast` number, since 4 + 9 + 3 + 77 + 71 + 70 + 432 = 666.

It is a tau number, because it is divible by the number of its divisors (1248).

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, 3888009153 + ... + 3888009279.

Almost surely, 2^493777170432 is an apocalyptic number.

493777170432 is a gapful number since it is divisible by the number (42) 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 493777170432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (946454978560).

493777170432 is an abundant number, since it is smaller than the sum of its proper divisors (1399132786688).

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

493777170432 is a wasteful number, since it uses less digits than its factorization.

493777170432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 6223392, while the sum is 54.

The spelling of 493777170432 in words is "four hundred ninety-three billion, seven hundred seventy-seven million, one hundred seventy thousand, four hundred thirty-two".