46911421286400 has 1152 divisors, whose sum is σ = 175839745536000. Its totient is φ = 10929930240000.

The previous prime is 46911421286399. The next prime is 46911421286461. The reversal of 46911421286400 is 468212411964.

It is a super-2 number, since 2×46911421286400² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 46911421286400.

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, 7804259395 + ... + 7804265405.

It is an arithmetic number, because the mean of its divisors is an integer number (152638668000).

Almost surely, 2^{46911421286400} is an apocalyptic number.

46911421286400 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 46911421286400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87919872768000).

46911421286400 is an abundant number, since it is smaller than the sum of its proper divisors (128928324249600).

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

46911421286400 is a wasteful number, since it uses less digits than its factorization.

46911421286400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6237 (or 6212 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 48.

The spelling of 46911421286400 in words is "forty-six trillion, nine hundred eleven billion, four hundred twenty-one million, two hundred eighty-six thousand, four hundred".