2917482628096 has 33 divisors (see below), whose sum is σ = 5832225416829. Its totient is φ = 1458713985024.

The previous prime is 2917482628061. The next prime is 2917482628103. The reversal of 2917482628096 is 6908262847192.

It is a happy number.

The square root of 2917482628096 is 1708064.

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

It can be written as a sum of positive squares in only one way, i.e., 2913985561600 + 3497066496 = 1707040^2 + 59136^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 54631360 + ... + 54684736.

Almost surely, 2^{2917482628096} is an apocalyptic number.

2917482628096 is the 1708064-th square number.

It is an amenable number.

2917482628096 is a deficient number, since it is larger than the sum of its proper divisors (2914742788733).

2917482628096 is an frugal number, since it uses more digits than its factorization.

2917482628096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106774 (or 53379 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 64.

Multiplying 2917482628096 by its sum of digits (64), we get a square (186718888198144 = 13664512²).

2917482628096 divided by its sum of digits (64) gives a square (45585666064 = 213508²).

The spelling of 2917482628096 in words is "two trillion, nine hundred seventeen billion, four hundred eighty-two million, six hundred twenty-eight thousand, ninety-six".