153407961648 has 480 divisors, whose sum is σ = 501396480000. Its totient is φ = 43480571904.

The previous prime is 153407961607. The next prime is 153407961697. The reversal of 153407961648 is 846169704351.

153407961648 is a `hidden beast` number, since 1 + 534 + 0 + 7 + 9 + 61 + 6 + 48 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 153407961594 and 153407961603.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 76741353 + ... + 76743351.

It is an arithmetic number, because the mean of its divisors is an integer number (1044576000).

Almost surely, 2^153407961648 is an apocalyptic number.

153407961648 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 153407961648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250698240000).

153407961648 is an abundant number, since it is smaller than the sum of its proper divisors (347988518352).

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

153407961648 is a wasteful number, since it uses less digits than its factorization.

153407961648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2129 (or 2120 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 153407961648 in words is "one hundred fifty-three billion, four hundred seven million, nine hundred sixty-one thousand, six hundred forty-eight".