1415647836100 has 81 divisors (see below), whose sum is σ = 3146195093517. Its totient is φ = 552890429280.

The previous prime is 1415647836059. The next prime is 1415647836149. The reversal of 1415647836100 is 16387465141.

The square root of 1415647836100 is 1189810.

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

It can be written as a sum of positive squares in only one way, i.e., 509633220996 + 906014615104 = 713886^2 + 951848^2 .

It is a super-2 number, since 2×1415647836100² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 511616917 + ... + 511619683.

Almost surely, 2^{1415647836100} is an apocalyptic number.

1415647836100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1415647836100 is the 1189810-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1415647836100

1415647836100 is an abundant number, since it is smaller than the sum of its proper divisors (1730547257417).

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

1415647836100 is an frugal number, since it uses more digits than its factorization.

1415647836100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5634 (or 2817 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 46.

The spelling of 1415647836100 in words is "one trillion, four hundred fifteen billion, six hundred forty-seven million, eight hundred thirty-six thousand, one hundred".