46606657046400 has 1536 divisors, whose sum is σ = 190383868224000. Its totient is φ = 11039780044800.

The previous prime is 46606657046381. The next prime is 46606657046431. The reversal of 46606657046400 is 464075660664.

It is a happy number.

46606657046400 is a `hidden beast` number, since 4 + 6 + 6 + 0 + 6 + 6 + 570 + 4 + 64 + 0 + 0 = 666.

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 191 ways as a sum of consecutive naturals, for example, 7562329719 + ... + 7562335881.

It is an arithmetic number, because the mean of its divisors is an integer number (123947830875).

Almost surely, 2^{46606657046400} is an apocalyptic number.

46606657046400 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 46606657046400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95191934112000).

46606657046400 is an abundant number, since it is smaller than the sum of its proper divisors (143777211177600).

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

46606657046400 is a wasteful number, since it uses less digits than its factorization.

46606657046400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6389 (or 6366 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 54.

The spelling of 46606657046400 in words is "forty-six trillion, six hundred six billion, six hundred fifty-seven million, forty-six thousand, four hundred".