1414361664 has 63 divisors (see below), whose sum is σ = 4056601107. Its totient is φ = 471153024.

The previous prime is 1414361659. The next prime is 1414361717. The reversal of 1414361664 is 4661634141.

The square root of 1414361664 is 37608.

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

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 901809 + ... + 903375.

Almost surely, 2^1414361664 is an apocalyptic number.

1414361664 is the 37608-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1414361664

1414361664 is an abundant number, since it is smaller than the sum of its proper divisors (2642239443).

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

1414361664 is an frugal number, since it uses more digits than its factorization.

1414361664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3152 (or 1572 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The cubic root of 1414361664 is about 1122.5012297214.

Multiplying 1414361664 by its sum of digits (36), we get a square (50917019904 = 225648²).

1414361664 divided by its sum of digits (36) gives a square (39287824 = 6268²).

The spelling of 1414361664 in words is "one billion, four hundred fourteen million, three hundred sixty-one thousand, six hundred sixty-four".