626294743161000 has 2048 divisors, whose sum is σ = 2223667150848000. Its totient is φ = 146085907968000.

The previous prime is 626294743160959. The next prime is 626294743161011. The reversal of 626294743161000 is 161347492626.

It is a super-2 number, since 2×626294743161000² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 618257396494 + ... + 618257397506.

It is an arithmetic number, because the mean of its divisors is an integer number (1085774976000).

Almost surely, 2^{626294743161000} is an apocalyptic number.

626294743161000 is a gapful number since it is divisible by the number (60) 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 626294743161000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1111833575424000).

626294743161000 is an abundant number, since it is smaller than the sum of its proper divisors (1597372407687000).

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

626294743161000 is a wasteful number, since it uses less digits than its factorization.

626294743161000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1312 (or 1298 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 51.

The spelling of 626294743161000 in words is "six hundred twenty-six trillion, two hundred ninety-four billion, seven hundred forty-three million, one hundred sixty-one thousand".