153407694451968 has 864 divisors, whose sum is σ = 505100820037632. Its totient is φ = 46051039641600.

The previous prime is 153407694451933. The next prime is 153407694452041. The reversal of 153407694451968 is 869154496704351.

153407694451968 is a `hidden beast` number, since 1 + 5 + 3 + 4 + 0 + 7 + 6 + 9 + 44 + 519 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 153407694451896 and 153407694451905.

It is a congruent number.

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, 100200975363 + ... + 100200976893.

Almost surely, 2^{153407694451968} is an apocalyptic number.

153407694451968 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 153407694451968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252550410018816).

153407694451968 is an abundant number, since it is smaller than the sum of its proper divisors (351693125585664).

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

153407694451968 is a wasteful number, since it uses less digits than its factorization.

153407694451968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2853 (or 2827 counting only the distinct ones).

The product of its (nonzero) digits is 783820800, while the sum is 72.

The spelling of 153407694451968 in words is "one hundred fifty-three trillion, four hundred seven billion, six hundred ninety-four million, four hundred fifty-one thousand, nine hundred sixty-eight".