23134290816 has 512 divisors, whose sum is σ = 78825600000. Its totient is φ = 5971746816.

The previous prime is 23134290787. The next prime is 23134290827. The reversal of 23134290816 is 61809243132.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 101022990 + ... + 101023218.

It is an arithmetic number, because the mean of its divisors is an integer number (153956250).

Almost surely, 2^23134290816 is an apocalyptic number.

23134290816 is a gapful number since it is divisible by the number (26) 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 23134290816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39412800000).

23134290816 is an abundant number, since it is smaller than the sum of its proper divisors (55691309184).

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

23134290816 is a wasteful number, since it uses less digits than its factorization.

23134290816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The spelling of 23134290816 in words is "twenty-three billion, one hundred thirty-four million, two hundred ninety thousand, eight hundred sixteen".