46250891121816 has 768 divisors, whose sum is σ = 141112198656000. Its totient is φ = 13624686673920.

The previous prime is 46250891121811. The next prime is 46250891121871. The reversal of 46250891121816 is 61812119805264.

46250891121816 is a `hidden beast` number, since 4 + 6 + 2 + 508 + 9 + 1 + 121 + 8 + 1 + 6 = 666.

46250891121816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×46250891121816² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46250891121811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 80157523320 + ... + 80157523896.

It is an arithmetic number, because the mean of its divisors is an integer number (183739842000).

Almost surely, 2^{46250891121816} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46250891121816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70556099328000).

46250891121816 is an abundant number, since it is smaller than the sum of its proper divisors (94861307534184).

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

46250891121816 is a wasteful number, since it uses less digits than its factorization.

46250891121816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1184 (or 1177 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 54.

The spelling of 46250891121816 in words is "forty-six trillion, two hundred fifty billion, eight hundred ninety-one million, one hundred twenty-one thousand, eight hundred sixteen".