46506354048000 has 1056 divisors, whose sum is σ = 208942575648768. Its totient is φ = 9663639552000.

The previous prime is 46506354047921. The next prime is 46506354048017. The reversal of 46506354048000 is 84045360564.

46506354048000 is a `hidden beast` number, since 4 + 6 + 5 + 0 + 63 + 540 + 48 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 88441857 + ... + 88966143.

Almost surely, 2^{46506354048000} is an apocalyptic number.

46506354048000 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 46506354048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104471287824384).

46506354048000 is an abundant number, since it is smaller than the sum of its proper divisors (162436221600768).

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

46506354048000 is a wasteful number, since it uses less digits than its factorization.

46506354048000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524346 (or 524315 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 46506354048000 in words is "forty-six trillion, five hundred six billion, three hundred fifty-four million, forty-eight thousand".