916701295104 has 960 divisors, whose sum is σ = 3260191334400. Its totient is φ = 247377715200.

The previous prime is 916701295091. The next prime is 916701295129. The reversal of 916701295104 is 401592107619.

916701295104 is a `hidden beast` number, since 9 + 1 + 6 + 7 + 0 + 129 + 510 + 4 = 666.

916701295104 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 916701295104.

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, 5489229229 + ... + 5489229395.

It is an arithmetic number, because the mean of its divisors is an integer number (3396032640).

Almost surely, 2^916701295104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 916701295104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1630095667200).

916701295104 is an abundant number, since it is smaller than the sum of its proper divisors (2343490039296).

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

916701295104 is a wasteful number, since it uses less digits than its factorization.

916701295104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The spelling of 916701295104 in words is "nine hundred sixteen billion, seven hundred one million, two hundred ninety-five thousand, one hundred four".