121646456640 has 448 divisors, whose sum is σ = 457262910720. Its totient is φ = 30337597440.

The previous prime is 121646456621. The next prime is 121646456677. The reversal of 121646456640 is 46654646121.

121646456640 is a `hidden beast` number, since 1 + 2 + 1 + 6 + 46 + 4 + 566 + 40 = 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23938900 + ... + 23943980.

It is an arithmetic number, because the mean of its divisors is an integer number (1020676140).

Almost surely, 2^121646456640 is an apocalyptic number.

121646456640 is a gapful number since it is divisible by the number (10) 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 121646456640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228631455360).

121646456640 is an abundant number, since it is smaller than the sum of its proper divisors (335616454080).

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

121646456640 is a wasteful number, since it uses less digits than its factorization.

121646456640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5287 (or 5271 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

It can be divided in two parts, 1216 and 46456640, that added together give a square (46457856 = 6816²).

The spelling of 121646456640 in words is "one hundred twenty-one billion, six hundred forty-six million, four hundred fifty-six thousand, six hundred forty".