46007305344 has 1440 divisors, whose sum is σ = 192250840320. Its totient is φ = 10674892800.

The previous prime is 46007305327. The next prime is 46007305361. The reversal of 46007305344 is 44350370064.

It is a happy number.

46007305344 is a `hidden beast` number, since 4 + 6 + 0 + 0 + 7 + 305 + 344 = 666.

It is an interprime number because it is at equal distance from previous prime (46007305327) and next prime (46007305361).

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

It is a junction number, because it is equal to n+sod(n) for n = 46007305299 and 46007305308.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 1484106609 + ... + 1484106639.

It is an arithmetic number, because the mean of its divisors is an integer number (133507528).

Almost surely, 2^46007305344 is an apocalyptic number.

46007305344 is a gapful number since it is divisible by the number (44) 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 46007305344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96125420160).

46007305344 is an abundant number, since it is smaller than the sum of its proper divisors (146243534976).

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

46007305344 is a wasteful number, since it uses less digits than its factorization.

46007305344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

The spelling of 46007305344 in words is "forty-six billion, seven million, three hundred five thousand, three hundred forty-four".