153461345664 has 384 divisors, whose sum is σ = 461779043040. Its totient is φ = 45101056000.

The previous prime is 153461345647. The next prime is 153461345671. The reversal of 153461345664 is 466543164351.

It is a happy number.

153461345664 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×153461345664² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

Its product of digits (3110400) is a multiple of the sum of its prime factors (810).

It is a congruent number.

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, 248721484 + ... + 248722100.

Almost surely, 2^153461345664 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 153461345664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230889521520).

153461345664 is an abundant number, since it is smaller than the sum of its proper divisors (308317697376).

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

153461345664 is a wasteful number, since it uses less digits than its factorization.

153461345664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 810 (or 787 counting only the distinct ones).

The product of its digits is 3110400, while the sum is 48.

The spelling of 153461345664 in words is "one hundred fifty-three billion, four hundred sixty-one million, three hundred forty-five thousand, six hundred sixty-four".