153402461462224 has 240 divisors, whose sum is σ = 345122025432912. Its totient is φ = 65609273106432.

The previous prime is 153402461462197. The next prime is 153402461462311. The reversal of 153402461462224 is 422264164204351.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 138556661824 + 153263904800400 = 372232^2 + 12379980^2 .

It is a Harshad number since it is a multiple of its sum of digits (46).

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, 948505014 + ... + 948666730.

Almost surely, 2^{153402461462224} 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 153402461462224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172561012716456).

153402461462224 is an abundant number, since it is smaller than the sum of its proper divisors (191719563970688).

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

153402461462224 is a wasteful number, since it uses less digits than its factorization.

153402461462224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162054 (or 162025 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 46.

The spelling of 153402461462224 in words is "one hundred fifty-three trillion, four hundred two billion, four hundred sixty-one million, four hundred sixty-two thousand, two hundred twenty-four".