4522621248000 has 1920 divisors, whose sum is σ = 18240402825216. Its totient is φ = 1071710208000.

The previous prime is 4522621247951. The next prime is 4522621248023. The reversal of 4522621248000 is 8421262254.

4522621248000 is a `hidden beast` number, since 4 + 5 + 2 + 2 + 621 + 24 + 8 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×4522621248000² (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14266943842 + ... + 14266944158.

Almost surely, 2^{4522621248000} is an apocalyptic number.

4522621248000 is a gapful number since it is divisible by the number (40) 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 4522621248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9120201412608).

4522621248000 is an abundant number, since it is smaller than the sum of its proper divisors (13717781577216).

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

4522621248000 is a wasteful number, since it uses less digits than its factorization.

4522621248000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 4522621248000 in words is "four trillion, five hundred twenty-two billion, six hundred twenty-one million, two hundred forty-eight thousand".