46095539634144 has 4320 divisors, whose sum is σ = 202963216579200. Its totient is φ = 10059556147200.

The previous prime is 46095539634143. The next prime is 46095539634169. The reversal of 46095539634144 is 44143693559064.

It is a happy number.

46095539634144 is a `hidden beast` number, since 4 + 6 + 0 + 9 + 553 + 9 + 6 + 34 + 1 + 44 = 666.

It is a super-2 number, since 2×46095539634144² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46095539634143) by changing a digit.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 331622587227 + ... + 331622587365.

It is an arithmetic number, because the mean of its divisors is an integer number (46982226060).

Almost surely, 2^{46095539634144} is an apocalyptic number.

46095539634144 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 46095539634144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101481608289600).

46095539634144 is an abundant number, since it is smaller than the sum of its proper divisors (156867676945056).

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

46095539634144 is a wasteful number, since it uses less digits than its factorization.

46095539634144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 167961600, while the sum is 63.

The spelling of 46095539634144 in words is "forty-six trillion, ninety-five billion, five hundred thirty-nine million, six hundred thirty-four thousand, one hundred forty-four".