4746612068352 has 2340 divisors, whose sum is σ = 19234847976960. Its totient is φ = 1158800670720.

The previous prime is 4746612068339. The next prime is 4746612068399. The reversal of 4746612068352 is 2538602166474.

4746612068352 is a `hidden beast` number, since 4 + 7 + 466 + 120 + 6 + 8 + 3 + 52 = 666.

It is a super-2 number, since 2×4746612068352² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 37374898113 + ... + 37374898239.

Almost surely, 2^{4746612068352} is an apocalyptic number.

4746612068352 is a gapful number since it is divisible by the number (42) 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 4746612068352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9617423988480).

4746612068352 is an abundant number, since it is smaller than the sum of its proper divisors (14488235908608).

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

4746612068352 is a wasteful number, since it uses less digits than its factorization.

4746612068352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 4746612068352 in words is "four trillion, seven hundred forty-six billion, six hundred twelve million, sixty-eight thousand, three hundred fifty-two".