4638251903520 has 192 divisors, whose sum is σ = 15247411280640. Its totient is φ = 1182960058368.

The previous prime is 4638251903489. The next prime is 4638251903533. The reversal of 4638251903520 is 253091528364.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 4638251903520.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 136978432 + ... + 137012288.

It is an arithmetic number, because the mean of its divisors is an integer number (79413600420).

Almost surely, 2^{4638251903520} is an apocalyptic number.

4638251903520 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 4638251903520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7623705640320).

4638251903520 is an abundant number, since it is smaller than the sum of its proper divisors (10609159377120).

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

4638251903520 is a wasteful number, since it uses less digits than its factorization.

4638251903520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46307 (or 46299 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 48.

The spelling of 4638251903520 in words is "four trillion, six hundred thirty-eight billion, two hundred fifty-one million, nine hundred three thousand, five hundred twenty".