4387525108164 has 405 divisors, whose sum is σ = 12873830967613. Its totient is φ = 1302029467200.

The previous prime is 4387525108159. The next prime is 4387525108189. The reversal of 4387525108164 is 4618015257834.

It is a happy number.

The square root of 4387525108164 is 2094642.

It is a perfect power (a square), and thus also a powerful number.

4387525108164 is a `hidden beast` number, since 4 + 3 + 8 + 7 + 525 + 108 + 1 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 514028773764 + 3873496334400 = 716958^2 + 1968120^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 4387525108164.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 29446477162 + ... + 29446477310.

Almost surely, 2^{4387525108164} is an apocalyptic number.

4387525108164 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

4387525108164 is the 2094642-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4387525108164

4387525108164 is an abundant number, since it is smaller than the sum of its proper divisors (8486305859449).

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

4387525108164 is a wasteful number, since it uses less digits than its factorization.

4387525108164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 4387525108164 in words is "four trillion, three hundred eighty-seven billion, five hundred twenty-five million, one hundred eight thousand, one hundred sixty-four".