46546412640 has 288 divisors, whose sum is σ = 181450596096. Its totient is φ = 9820661760.

The previous prime is 46546412623. The next prime is 46546412701. The reversal of 46546412640 is 4621464564.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 46546412592 and 46546412601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 526855 + ... + 608825.

It is an arithmetic number, because the mean of its divisors is an integer number (630036792).

Almost surely, 2^46546412640 is an apocalyptic number.

46546412640 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 46546412640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90725298048).

46546412640 is an abundant number, since it is smaller than the sum of its proper divisors (134904183456).

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

46546412640 is a wasteful number, since it uses less digits than its factorization.

46546412640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82022 (or 82001 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 42.

The spelling of 46546412640 in words is "forty-six billion, five hundred forty-six million, four hundred twelve thousand, six hundred forty".