1823553152100 has 81 divisors (see below), whose sum is σ = 5715953031243. Its totient is φ = 486270037440.

The previous prime is 1823553152093. The next prime is 1823553152101. The reversal of 1823553152100 is 12513553281.

The square root of 1823553152100 is 1350390.

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

1823553152100 is a `hidden beast` number, since 1 + 8 + 235 + 5 + 315 + 2 + 100 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 866317900644 + 957235251456 = 930762^2 + 978384^2 .

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

It is not an unprimeable number, because it can be changed into a prime (1823553152101) 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, 40489194 + ... + 40534206.

Almost surely, 2^{1823553152100} is an apocalyptic number.

1823553152100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1823553152100 is the 1350390-th square number.

It is an amenable number.

1823553152100 is an abundant number, since it is smaller than the sum of its proper divisors (3892399879143).

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

1823553152100 is an frugal number, since it uses more digits than its factorization.

1823553152100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90046 (or 45023 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

Multiplying 1823553152100 by its sum of digits (36), we get a square (65647913475600 = 8102340²).

1823553152100 divided by its sum of digits (36) gives a square (50654254225 = 225065²).

The spelling of 1823553152100 in words is "one trillion, eight hundred twenty-three billion, five hundred fifty-three million, one hundred fifty-two thousand, one hundred".