46151283024000 has 6144 divisors, whose sum is σ = 228766187520000. Its totient is φ = 8630489088000.

The previous prime is 46151283023999. The next prime is 46151283024023. The reversal of 46151283024000 is 42038215164.

It is a happy number.

46151283024000 is a `hidden beast` number, since 4 + 61 + 512 + 83 + 0 + 2 + 4 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×46151283024000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 584193455961 + ... + 584193456039.

It is an arithmetic number, because the mean of its divisors is an integer number (37234080000).

Almost surely, 2^{46151283024000} is an apocalyptic number.

46151283024000 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 46151283024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114383093760000).

46151283024000 is an abundant number, since it is smaller than the sum of its proper divisors (182614904496000).

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

46151283024000 is a wasteful number, since it uses less digits than its factorization.

46151283024000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 46151283024000 in words is "forty-six trillion, one hundred fifty-one billion, two hundred eighty-three million, twenty-four thousand".