46951961112 has 384 divisors, whose sum is σ = 159494400000. Its totient is φ = 12432559104.

The previous prime is 46951961047. The next prime is 46951961123. The reversal of 46951961112 is 21116915964.

46951961112 is a `hidden beast` number, since 4 + 6 + 9 + 5 + 19 + 611 + 12 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22052464 + ... + 22054592.

It is an arithmetic number, because the mean of its divisors is an integer number (415350000).

Almost surely, 2^46951961112 is an apocalyptic number.

46951961112 is a gapful number since it is divisible by the number (42) 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 46951961112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79747200000).

46951961112 is an abundant number, since it is smaller than the sum of its proper divisors (112542438888).

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

46951961112 is a wasteful number, since it uses less digits than its factorization.

46951961112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2228 (or 2207 counting only the distinct ones).

The product of its digits is 116640, while the sum is 45.

The spelling of 46951961112 in words is "forty-six billion, nine hundred fifty-one million, nine hundred sixty-one thousand, one hundred twelve".