621252145008 has 600 divisors, whose sum is σ = 2101510713456. Its totient is φ = 176436817920.

The previous prime is 621252145001. The next prime is 621252145013. The reversal of 621252145008 is 800541252126.

621252145008 is a `hidden beast` number, since 6 + 2 + 125 + 21 + 4 + 500 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (621252145001) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1058350891 + ... + 1058351477.

Almost surely, 2^621252145008 is an apocalyptic number.

621252145008 is a gapful number since it is divisible by the number (68) 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 621252145008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1050755356728).

621252145008 is an abundant number, since it is smaller than the sum of its proper divisors (1480258568448).

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

621252145008 is a wasteful number, since it uses less digits than its factorization.

621252145008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1043 (or 1017 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 621252145008 in words is "six hundred twenty-one billion, two hundred fifty-two million, one hundred forty-five thousand, eight".