46149767352 has 288 divisors, whose sum is σ = 145523196000. Its totient is φ = 13109031936.

The previous prime is 46149767351. The next prime is 46149767393. The reversal of 46149767352 is 25376794164.

46149767352 is a `hidden beast` number, since 4 + 61 + 497 + 67 + 35 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46149767351) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 18103774 + ... + 18106322.

It is an arithmetic number, because the mean of its divisors is an integer number (505288875).

Almost surely, 2^46149767352 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 46149767352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72761598000).

46149767352 is an abundant number, since it is smaller than the sum of its proper divisors (99373428648).

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

46149767352 is a wasteful number, since it uses less digits than its factorization.

46149767352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2655 (or 2619 counting only the distinct ones).

The product of its digits is 7620480, while the sum is 54.

The spelling of 46149767352 in words is "forty-six billion, one hundred forty-nine million, seven hundred sixty-seven thousand, three hundred fifty-two".