46123353540 has 216 divisors, whose sum is σ = 154684182744. Its totient is φ = 11115878400.

The previous prime is 46123353539. The next prime is 46123353559. The reversal of 46123353540 is 4535332164.

46123353540 is a `hidden beast` number, since 4 + 61 + 2 + 3 + 3 + 53 + 540 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8163845316 + 37959508224 = 90354^2 + 194832^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 46123353495 and 46123353504.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3761820 + ... + 3774060.

Almost surely, 2^46123353540 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 46123353540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77342091372).

46123353540 is an abundant number, since it is smaller than the sum of its proper divisors (108560829204).

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

46123353540 is a wasteful number, since it uses less digits than its factorization.

46123353540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12451 (or 12435 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The spelling of 46123353540 in words is "forty-six billion, one hundred twenty-three million, three hundred fifty-three thousand, five hundred forty".