153650242407456 has 144 divisors (see below), whose sum is σ = 438010649818560. Its totient is φ = 51091603960320.

The previous prime is 153650242407419. The next prime is 153650242407479. The reversal of 153650242407456 is 654704242056351.

It is a happy number.

153650242407456 is a `hidden beast` number, since 1 + 5 + 3 + 6 + 502 + 42 + 40 + 7 + 4 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2264757471 + ... + 2264825313.

It is an arithmetic number, because the mean of its divisors is an integer number (3041740623740).

Almost surely, 2^{153650242407456} is an apocalyptic number.

153650242407456 is a gapful number since it is divisible by the number (16) 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 153650242407456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219005324909280).

153650242407456 is an abundant number, since it is smaller than the sum of its proper divisors (284360407411104).

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

153650242407456 is a wasteful number, since it uses less digits than its factorization.

153650242407456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86959 (or 86948 counting only the distinct ones).

The product of its (nonzero) digits is 24192000, while the sum is 54.

The spelling of 153650242407456 in words is "one hundred fifty-three trillion, six hundred fifty billion, two hundred forty-two million, four hundred seven thousand, four hundred fifty-six".