46656005760000 has 3960 divisors, whose sum is σ = 214690030498944. Its totient is φ = 9546301440000.

The previous prime is 46656005759947. The next prime is 46656005760011. The reversal of 46656005760000 is 6750065664.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 279377279917 + ... + 279377280083.

Almost surely, 2^{46656005760000} is an apocalyptic number.

46656005760000 is a gapful number since it is divisible by the number (40) 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 46656005760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107345015249472).

46656005760000 is an abundant number, since it is smaller than the sum of its proper divisors (168034024738944).

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

46656005760000 is a wasteful number, since it uses less digits than its factorization.

46656005760000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

It can be divided in two parts, 4665600 and 5760000, that multiplied together give a square (26873856000000 = 5184000²).

The spelling of 46656005760000 in words is "forty-six trillion, six hundred fifty-six billion, five million, seven hundred sixty thousand".