46076071552 has 64 divisors (see below), whose sum is σ = 105432912000. Its totient is φ = 19647581184.

The previous prime is 46076071549. The next prime is 46076071553. The reversal of 46076071552 is 25517067064.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 46076071499 and 46076071508.

It is not an unprimeable number, because it can be changed into a prime (46076071553) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49098 + ... + 307510.

It is an arithmetic number, because the mean of its divisors is an integer number (1647389250).

Almost surely, 2^46076071552 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 46076071552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52716456000).

46076071552 is an abundant number, since it is smaller than the sum of its proper divisors (59356840448).

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

46076071552 is a wasteful number, since it uses less digits than its factorization.

46076071552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258633 (or 258621 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 43.

The spelling of 46076071552 in words is "forty-six billion, seventy-six million, seventy-one thousand, five hundred fifty-two".