345151550016 has 567 divisors, whose sum is σ = 1250820649611. Its totient is φ = 90690582528.

The previous prime is 345151549997. The next prime is 345151550063. The reversal of 345151550016 is 610055151543.

The square root of 345151550016 is 587496.

It is a perfect power (a square), and thus also a powerful number.

345151550016 is a `hidden beast` number, since 3 + 4 + 51 + 51 + 550 + 0 + 1 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 217342440000 + 127809110016 = 466200^2 + 357504^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1283091130 + ... + 1283091398.

Almost surely, 2^345151550016 is an apocalyptic number.

345151550016 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

345151550016 is the 587496-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345151550016

345151550016 is an abundant number, since it is smaller than the sum of its proper divisors (905669099595).

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

345151550016 is a wasteful number, since it uses less digits than its factorization.

345151550016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 596 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 45000, while the sum is 36.

Multiplying 345151550016 by its sum of digits (36), we get a square (12425455800576 = 3524976²).

345151550016 divided by its sum of digits (36) gives a square (9587543056 = 97916²).

The spelling of 345151550016 in words is "three hundred forty-five billion, one hundred fifty-one million, five hundred fifty thousand, sixteen".