46357684128 has 480 divisors, whose sum is σ = 169706275200. Its totient is φ = 12112644096.

The previous prime is 46357684127. The next prime is 46357684129. The reversal of 46357684128 is 82148675364.

It is a happy number.

46357684128 is a `hidden beast` number, since 4 + 6 + 3 + 576 + 8 + 41 + 28 = 666.

It is an interprime number because it is at equal distance from previous prime (46357684127) and next prime (46357684129).

It is a super-2 number, since 2×46357684128² (a number of 22 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (46357684127) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9995026 + ... + 9999662.

It is an arithmetic number, because the mean of its divisors is an integer number (353554740).

Almost surely, 2^46357684128 is an apocalyptic number.

46357684128 is a gapful number since it is divisible by the number (48) 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 46357684128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84853137600).

46357684128 is an abundant number, since it is smaller than the sum of its proper divisors (123348591072).

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

46357684128 is a wasteful number, since it uses less digits than its factorization.

46357684128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4714 (or 4697 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 54.

The spelling of 46357684128 in words is "forty-six billion, three hundred fifty-seven million, six hundred eighty-four thousand, one hundred twenty-eight".