147733713874656 has 3456 divisors, whose sum is σ = 587746528911360. Its totient is φ = 34970948812800.

The previous prime is 147733713874627. The next prime is 147733713874717. The reversal of 147733713874656 is 656478317337741.

147733713874656 is a `hidden beast` number, since 1 + 4 + 7 + 73 + 3 + 7 + 13 + 87 + 465 + 6 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 906341802831 + ... + 906341802993.

It is an arithmetic number, because the mean of its divisors is an integer number (170065546560).

Almost surely, 2^{147733713874656} is an apocalyptic number.

147733713874656 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 147733713874656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293873264455680).

147733713874656 is an abundant number, since it is smaller than the sum of its proper divisors (440012815036704).

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

147733713874656 is a wasteful number, since it uses less digits than its factorization.

147733713874656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 283 counting only the distinct ones).

The product of its digits is 1493614080, while the sum is 72.

The spelling of 147733713874656 in words is "one hundred forty-seven trillion, seven hundred thirty-three billion, seven hundred thirteen million, eight hundred seventy-four thousand, six hundred fifty-six".