455661120960 has 168 divisors, whose sum is σ = 1569906842400. Its totient is φ = 121306318848.

The previous prime is 455661120931. The next prime is 455661120983. The reversal of 455661120960 is 69021166554.

455661120960 is a `hidden beast` number, since 4 + 5 + 5 + 6 + 611 + 20 + 9 + 6 + 0 = 666.

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1593054 + ... + 1857186.

Almost surely, 2^455661120960 is an apocalyptic number.

455661120960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 455661120960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (784953421200).

455661120960 is an abundant number, since it is smaller than the sum of its proper divisors (1114245721440).

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

455661120960 is a wasteful number, since it uses less digits than its factorization.

455661120960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264755 (or 264742 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 455661120960 in words is "four hundred fifty-five billion, six hundred sixty-one million, one hundred twenty thousand, nine hundred sixty".