121463811648 has 336 divisors, whose sum is σ = 374502273600. Its totient is φ = 37523865600.

The previous prime is 121463811593. The next prime is 121463811659. The reversal of 121463811648 is 846118364121.

121463811648 is a `hidden beast` number, since 1 + 2 + 1 + 4 + 638 + 1 + 1 + 6 + 4 + 8 = 666.

121463811648 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 202102548 + ... + 202103148.

It is an arithmetic number, because the mean of its divisors is an integer number (1114590100).

Almost surely, 2^121463811648 is an apocalyptic number.

121463811648 is a gapful number since it is divisible by the number (18) 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 121463811648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187251136800).

121463811648 is an abundant number, since it is smaller than the sum of its proper divisors (253038461952).

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

121463811648 is a wasteful number, since it uses less digits than its factorization.

121463811648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1010 (or 997 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The spelling of 121463811648 in words is "one hundred twenty-one billion, four hundred sixty-three million, eight hundred eleven thousand, six hundred forty-eight".