2383287564100 has 81 divisors (see below), whose sum is σ = 5198775156183. Its totient is φ = 948356372160.

The previous prime is 2383287563999. The next prime is 2383287564101. The reversal of 2383287564100 is 14657823832.

The square root of 2383287564100 is 1543790.

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

It can be written as a sum of positive squares in 4 ways, for example, as 962003949124 + 1421283614976 = 980818^2 + 1192176^2 .

It is a super-2 number, since 2×2383287564100² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2383287564101) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4893814057 + ... + 4893814543.

Almost surely, 2^{2383287564100} is an apocalyptic number.

2383287564100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2383287564100 is the 1543790-th square number.

It is an amenable number.

2383287564100 is an abundant number, since it is smaller than the sum of its proper divisors (2815487592083).

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

2383287564100 is an frugal number, since it uses more digits than its factorization.

2383287564100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1622 (or 811 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 49.

Multiplying 2383287564100 by its sum of digits (49), we get a square (116781090640900 = 10806530²).

The spelling of 2383287564100 in words is "two trillion, three hundred eighty-three billion, two hundred eighty-seven million, five hundred sixty-four thousand, one hundred".