11451456016632 has 64 divisors (see below), whose sum is σ = 31812469092000. Its totient is φ = 3816807720192.

The previous prime is 11451456016571. The next prime is 11451456016639. The reversal of 11451456016632 is 23661065415411.

11451456016632 is a `hidden beast` number, since 1 + 1 + 4 + 5 + 1 + 4 + 5 + 6 + 0 + 1 + 6 + 632 = 666.

It is a super-2 number, since 2×11451456016632² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11451456016639) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15094 + ... + 4785722.

Almost surely, 2^{11451456016632} is an apocalyptic number.

11451456016632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11451456016632 is an abundant number, since it is smaller than the sum of its proper divisors (20361013075368).

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

11451456016632 is a wasteful number, since it uses less digits than its factorization.

11451456016632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4781757 (or 4781747 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 11451456016632 in words is "eleven trillion, four hundred fifty-one billion, four hundred fifty-six million, sixteen thousand, six hundred thirty-two".