46095206976 has 336 divisors, whose sum is σ = 167707056000. Its totient is φ = 12156438528.

The previous prime is 46095206953. The next prime is 46095206987. The reversal of 46095206976 is 67960259064.

46095206976 is a `hidden beast` number, since 4 + 609 + 5 + 20 + 6 + 9 + 7 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2032950 + ... + 2055498.

Almost surely, 2^46095206976 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 46095206976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83853528000).

46095206976 is an abundant number, since it is smaller than the sum of its proper divisors (121611849024).

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

46095206976 is a wasteful number, since it uses less digits than its factorization.

46095206976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22603 (or 22574 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 46095206976 in words is "forty-six billion, ninety-five million, two hundred six thousand, nine hundred seventy-six".