345765519590400 has 12672 divisors, whose sum is σ = 1847749576458240. Its totient is φ = 61917364224000.

The previous prime is 345765519590363. The next prime is 345765519590423. The reversal of 345765519590400 is 4095915567543.

345765519590400 is a `hidden beast` number, since 3 + 4 + 5 + 7 + 6 + 5 + 51 + 95 + 90 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 1151 ways as a sum of consecutive naturals, for example, 5668287206370 + ... + 5668287206430.

Almost surely, 2^{345765519590400} is an apocalyptic number.

345765519590400 is a gapful number since it is divisible by the number (30) 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 345765519590400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (923874788229120).

345765519590400 is an abundant number, since it is smaller than the sum of its proper divisors (1501984056867840).

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

345765519590400 is a wasteful number, since it uses less digits than its factorization.

345765519590400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 102060000, while the sum is 63.

The spelling of 345765519590400 in words is "three hundred forty-five trillion, seven hundred sixty-five billion, five hundred nineteen million, five hundred ninety thousand, four hundred".