4578251113800 has 1728 divisors, whose sum is σ = 20037827496960. Its totient is φ = 927521280000.

The previous prime is 4578251113741. The next prime is 4578251113829. The reversal of 4578251113800 is 83111528754.

4578251113800 is a `hidden beast` number, since 4 + 5 + 7 + 8 + 251 + 11 + 380 + 0 = 666.

It is a super-2 number, since 2×4578251113800² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 5367234174 + ... + 5367235026.

Almost surely, 2^{4578251113800} is an apocalyptic number.

4578251113800 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 4578251113800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10018913748480).

4578251113800 is an abundant number, since it is smaller than the sum of its proper divisors (15459576383160).

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

4578251113800 is a wasteful number, since it uses less digits than its factorization.

4578251113800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1084 (or 1065 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 45.

The spelling of 4578251113800 in words is "four trillion, five hundred seventy-eight billion, two hundred fifty-one million, one hundred thirteen thousand, eight hundred".