46015451064 has 144 divisors (see below), whose sum is σ = 137104236360. Its totient is φ = 13931913600.

The previous prime is 46015451057. The next prime is 46015451071.

46015451064 is a `hidden beast` number, since 4 + 6 + 0 + 1 + 545 + 106 + 4 = 666.

46015451064 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (46015451057) and next prime (46015451071).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 18651159 + ... + 18653625.

Almost surely, 2^46015451064 is an apocalyptic number.

46015451064 is a gapful number since it is divisible by the number (44) 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 46015451064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68552118180).

46015451064 is an abundant number, since it is smaller than the sum of its proper divisors (91088785296).

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

46015451064 is a wasteful number, since it uses less digits than its factorization.

46015451064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4642 (or 4624 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 46015451064 in words is "forty-six billion, fifteen million, four hundred fifty-one thousand, sixty-four".