46507838458356 has 288 divisors, whose sum is σ = 136269496516608. Its totient is φ = 13236474746880.

The previous prime is 46507838458273. The next prime is 46507838458369. The reversal of 46507838458356 is 65385483870564.

46507838458356 is a `hidden beast` number, since 4 + 6 + 5 + 0 + 7 + 8 + 38 + 4 + 583 + 5 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 111994201 + ... + 112408703.

It is an arithmetic number, because the mean of its divisors is an integer number (473157974016).

Almost surely, 2^{46507838458356} is an apocalyptic number.

46507838458356 is a gapful number since it is divisible by the number (46) 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 46507838458356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68134748258304).

46507838458356 is an abundant number, since it is smaller than the sum of its proper divisors (89761658058252).

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

46507838458356 is a wasteful number, since it uses less digits than its factorization.

46507838458356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414771 (or 414766 counting only the distinct ones).

The product of its (nonzero) digits is 2322432000, while the sum is 72.

The spelling of 46507838458356 in words is "forty-six trillion, five hundred seven billion, eight hundred thirty-eight million, four hundred fifty-eight thousand, three hundred fifty-six".