2623390410816 has 896 divisors, whose sum is σ = 9316014489600. Its totient is φ = 717007915008.

The previous prime is 2623390410763. The next prime is 2623390410841. The reversal of 2623390410816 is 6180140933262.

2623390410816 is a `hidden beast` number, since 2 + 623 + 3 + 9 + 0 + 4 + 1 + 0 + 8 + 16 = 666.

It is a super-2 number, since 2×2623390410816² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3608514645 + ... + 3608515371.

It is an arithmetic number, because the mean of its divisors is an integer number (10397337600).

Almost surely, 2^{2623390410816} 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 2623390410816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4658007244800).

2623390410816 is an abundant number, since it is smaller than the sum of its proper divisors (6692624078784).

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

2623390410816 is an equidigital number, since it uses as much as digits as its factorization.

2623390410816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 923 (or 895 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 2623390410816 in words is "two trillion, six hundred twenty-three billion, three hundred ninety million, four hundred ten thousand, eight hundred sixteen".