46437629364 has 144 divisors (see below), whose sum is σ = 145769594880. Its totient is φ = 12164074560.

The previous prime is 46437629351. The next prime is 46437629377. The reversal of 46437629364 is 46392673464.

46437629364 is a `hidden beast` number, since 4 + 6 + 4 + 3 + 7 + 629 + 3 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (46437629351) and next prime (46437629377).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 46437629364.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8004 + ... + 304859.

Almost surely, 2^46437629364 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 46437629364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72884797440).

46437629364 is an abundant number, since it is smaller than the sum of its proper divisors (99331965516).

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

46437629364 is a wasteful number, since it uses less digits than its factorization.

46437629364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312930 (or 312925 counting only the distinct ones).

The product of its digits is 15676416, while the sum is 54.

The spelling of 46437629364 in words is "forty-six billion, four hundred thirty-seven million, six hundred twenty-nine thousand, three hundred sixty-four".