345494647959552 has 6240 divisors, whose sum is σ = 1480121551827072. Its totient is φ = 79107459121152.

The previous prime is 345494647959551. The next prime is 345494647959577. The reversal of 345494647959552 is 255959746494543.

345494647959552 is a `hidden beast` number, since 3 + 4 + 5 + 4 + 9 + 4 + 6 + 4 + 7 + 9 + 59 + 552 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345494647959551) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 3057474760648 + ... + 3057474760760.

Almost surely, 2^{345494647959552} is an apocalyptic number.

345494647959552 is a gapful number since it is divisible by the number (32) 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 345494647959552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (740060775913536).

345494647959552 is an abundant number, since it is smaller than the sum of its proper divisors (1134626903867520).

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

345494647959552 is a wasteful number, since it uses less digits than its factorization.

345494647959552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 215 counting only the distinct ones).

The product of its digits is 29393280000, while the sum is 81.

The spelling of 345494647959552 in words is "three hundred forty-five trillion, four hundred ninety-four billion, six hundred forty-seven million, nine hundred fifty-nine thousand, five hundred fifty-two".