121457664 has 176 divisors, whose sum is σ = 377303040. Its totient is φ = 38522880.

The previous prime is 121457663. The next prime is 121457669. The reversal of 121457664 is 466754121.

121457664 is a `hidden beast` number, since 1 + 21 + 4 + 576 + 64 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121457663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 635809 + ... + 635999.

Almost surely, 2^121457664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121457664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188651520).

121457664 is an abundant number, since it is smaller than the sum of its proper divisors (255845376).

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

121457664 is a wasteful number, since it uses less digits than its factorization.

121457664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 219 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 121457664 is about 11020.7832752486. The cubic root of 121457664 is about 495.2315537410.

The spelling of 121457664 in words is "one hundred twenty-one million, four hundred fifty-seven thousand, six hundred sixty-four".