934661016576 has 1056 divisors, whose sum is σ = 3347621222400. Its totient is φ = 260242440192.

The previous prime is 934661016559. The next prime is 934661016581. The reversal of 934661016576 is 675610166439.

It is a happy number.

934661016576 is a `hidden beast` number, since 9 + 3 + 4 + 6 + 61 + 0 + 1 + 6 + 576 = 666.

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

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, 4011420556 + ... + 4011420788.

Almost surely, 2^934661016576 is an apocalyptic number.

934661016576 is a gapful number since it is divisible by the number (96) 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 934661016576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1673810611200).

934661016576 is an abundant number, since it is smaller than the sum of its proper divisors (2412960205824).

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

934661016576 is an equidigital number, since it uses as much as digits as its factorization.

934661016576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 934661016576 in words is "nine hundred thirty-four billion, six hundred sixty-one million, sixteen thousand, five hundred seventy-six".