2913738635808 has 864 divisors, whose sum is σ = 11414015907840. Its totient is φ = 693036933120.

The previous prime is 2913738635803. The next prime is 2913738635839. The reversal of 2913738635808 is 8085368373192.

2913738635808 is a `hidden beast` number, since 2 + 9 + 13 + 7 + 38 + 6 + 3 + 580 + 8 = 666.

It is a super-4 number, since 4×2913738635808⁴ (a number of 51 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (2913738635803) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 256282348 + ... + 256293716.

It is an arithmetic number, because the mean of its divisors is an integer number (13210666560).

Almost surely, 2^{2913738635808} is an apocalyptic number.

2913738635808 is a gapful number since it is divisible by the number (28) 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 2913738635808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5707007953920).

2913738635808 is an abundant number, since it is smaller than the sum of its proper divisors (8500277272032).

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

2913738635808 is a wasteful number, since it uses less digits than its factorization.

2913738635808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11550 (or 11532 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 2913738635808 in words is "two trillion, nine hundred thirteen billion, seven hundred thirty-eight million, six hundred thirty-five thousand, eight hundred eight".