345632749056 has 480 divisors, whose sum is σ = 1193616103680. Its totient is φ = 97802919936.

The previous prime is 345632749039. The next prime is 345632749069. The reversal of 345632749056 is 650947236543.

345632749056 is a `hidden beast` number, since 3 + 4 + 563 + 2 + 74 + 9 + 0 + 5 + 6 = 666.

It is a super-2 number, since 2×345632749056² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an alternating number because its digits alternate between odd and even.

It is a junction number, because it is equal to n+sod(n) for n = 345632748993 and 345632749011.

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, 93185730 + ... + 93189438.

It is an arithmetic number, because the mean of its divisors is an integer number (2486700216).

Almost surely, 2^345632749056 is an apocalyptic number.

345632749056 is a gapful number since it is divisible by the number (36) 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 345632749056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596808051840).

345632749056 is an abundant number, since it is smaller than the sum of its proper divisors (847983354624).

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

345632749056 is an equidigital number, since it uses as much as digits as its factorization.

345632749056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3856 (or 3828 counting only the distinct ones).

The product of its (nonzero) digits is 16329600, while the sum is 54.

The spelling of 345632749056 in words is "three hundred forty-five billion, six hundred thirty-two million, seven hundred forty-nine thousand, fifty-six".