1138574361600 has 2079 divisors, whose sum is σ = 4835882765223. Its totient is φ = 265513697280.

The previous prime is 1138574361577. The next prime is 1138574361623. The reversal of 1138574361600 is 61634758311.

The square root of 1138574361600 is 1067040.

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

1138574361600 is a `hidden beast` number, since 1 + 1 + 3 + 8 + 5 + 7 + 4 + 36 + 1 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (1138574361577) and next prime (1138574361623).

It can be written as a sum of positive squares in 4 ways, for example, as 293469225984 + 845105135616 = 541728^2 + 919296^2 .

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 188 ways as a sum of consecutive naturals, for example, 59924966391 + ... + 59924966409.

Almost surely, 2^{1138574361600} is an apocalyptic number.

1138574361600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1138574361600 is the 1067040-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1138574361600

1138574361600 is an abundant number, since it is smaller than the sum of its proper divisors (3697308403623).

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

1138574361600 is an equidigital number, since it uses as much as digits as its factorization.

1138574361600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 1138574361600 in words is "one trillion, one hundred thirty-eight billion, five hundred seventy-four million, three hundred sixty-one thousand, six hundred".