46065903206400 has 4560 divisors, whose sum is σ = 226552381862400. Its totient is φ = 9155955916800.

The previous prime is 46065903206399. The next prime is 46065903206459. The reversal of 46065903206400 is 460230956064.

46065903206400 is a `hidden beast` number, since 4 + 606 + 5 + 9 + 0 + 32 + 0 + 6 + 4 + 0 + 0 = 666.

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 239 ways as a sum of consecutive naturals, for example, 2002865356789 + ... + 2002865356811.

Almost surely, 2^{46065903206400} is an apocalyptic number.

46065903206400 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 46065903206400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113276190931200).

46065903206400 is an abundant number, since it is smaller than the sum of its proper divisors (180486478656000).

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

46065903206400 is an frugal number, since it uses more digits than its factorization.

46065903206400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 46065903206400 in words is "forty-six trillion, sixty-five billion, nine hundred three million, two hundred six thousand, four hundred".