11651461284015 has 96 divisors (see below), whose sum is σ = 23878684552320. Its totient is φ = 5142326611968.

The previous prime is 11651461283983. The next prime is 11651461284053. The reversal of 11651461284015 is 51048216415611.

11651461284015 is a `hidden beast` number, since 1 + 1 + 6 + 5 + 14 + 612 + 8 + 4 + 0 + 15 = 666.

It is not a de Polignac number, because 11651461284015 - 2⁵ = 11651461283983 is a prime.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 145325179 + ... + 145405331.

It is an arithmetic number, because the mean of its divisors is an integer number (248736297420).

Almost surely, 2^{11651461284015} is an apocalyptic number.

11651461284015 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

11651461284015 is an abundant number, since it is smaller than the sum of its proper divisors (12227223268305).

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

11651461284015 is a wasteful number, since it uses less digits than its factorization.

11651461284015 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96113 (or 96110 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 45.

Adding to 11651461284015 its reverse (51048216415611), we get a palindrome (62699677699626).

The spelling of 11651461284015 in words is "eleven trillion, six hundred fifty-one billion, four hundred sixty-one million, two hundred eighty-four thousand, fifteen".