45703438151616 has 504 divisors, whose sum is σ = 160930125143424. Its totient is φ = 12339879552000.

The previous prime is 45703438151573. The next prime is 45703438151629. The reversal of 45703438151616 is 61615183430754.

45703438151616 is a `hidden beast` number, since 4 + 5 + 7 + 0 + 3 + 4 + 3 + 8 + 15 + 1 + 616 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×45703438151616² (a number of 28 digits) contains 22 as substring.

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 71 ways as a sum of consecutive naturals, for example, 53455491 + ... + 54303741.

It is an arithmetic number, because the mean of its divisors is an integer number (319305803856).

Almost surely, 2^{45703438151616} is an apocalyptic number.

45703438151616 is a gapful number since it is divisible by the number (46) 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 45703438151616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80465062571712).

45703438151616 is an abundant number, since it is smaller than the sum of its proper divisors (115226686991808).

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

45703438151616 is a wasteful number, since it uses less digits than its factorization.

45703438151616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 848389 (or 848369 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 45703438151616 in words is "forty-five trillion, seven hundred three billion, four hundred thirty-eight million, one hundred fifty-one thousand, six hundred sixteen".