1481186361600 has 729 divisors, whose sum is σ = 5833410342487. Its totient is φ = 358296576000.

The previous prime is 1481186361593. The next prime is 1481186361623. The reversal of 1481186361600 is 61636811841.

The square root of 1481186361600 is 1217040.

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

1481186361600 is a `hidden beast` number, since 1 + 4 + 8 + 1 + 1 + 8 + 6 + 36 + 1 + 600 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 151426826496 + 1329759535104 = 389136^2 + 1153152^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 3212985370 + ... + 3212985830.

Almost surely, 2^{1481186361600} is an apocalyptic number.

1481186361600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1481186361600 is the 1217040-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1481186361600

1481186361600 is an abundant number, since it is smaller than the sum of its proper divisors (4352223980887).

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

1481186361600 is an equidigital number, since it uses as much as digits as its factorization.

1481186361600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 976 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 1481186361600 in words is "one trillion, four hundred eighty-one billion, one hundred eighty-six million, three hundred sixty-one thousand, six hundred".