46514942115840 has 2016 divisors, whose sum is σ = 187151781350016. Its totient is φ = 10997339258880.

The previous prime is 46514942115809. The next prime is 46514942115911. The reversal of 46514942115840 is 4851124941564.

It is a happy number.

46514942115840 is a `hidden beast` number, since 4 + 6 + 5 + 1 + 4 + 9 + 42 + 11 + 584 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 278532587437 + ... + 278532587603.

It is an arithmetic number, because the mean of its divisors is an integer number (92833224876).

Almost surely, 2^{46514942115840} is an apocalyptic number.

46514942115840 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 46514942115840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93575890675008).

46514942115840 is an abundant number, since it is smaller than the sum of its proper divisors (140636839234176).

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

46514942115840 is an frugal number, since it uses more digits than its factorization.

46514942115840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 46514942115840 in words is "forty-six trillion, five hundred fourteen billion, nine hundred forty-two million, one hundred fifteen thousand, eight hundred forty".