46991961408 has 224 divisors, whose sum is σ = 151841606400. Its totient is φ = 12519899136.

The previous prime is 46991961377. The next prime is 46991961421. The reversal of 46991961408 is 80416919964.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×46991961408² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2480998 + ... + 2499866.

Almost surely, 2^46991961408 is an apocalyptic number.

46991961408 is a gapful number since it is divisible by the number (48) 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 46991961408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75920803200).

46991961408 is an abundant number, since it is smaller than the sum of its proper divisors (104849644992).

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

46991961408 is a wasteful number, since it uses less digits than its factorization.

46991961408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19017 (or 19007 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 57.

The spelling of 46991961408 in words is "forty-six billion, nine hundred ninety-one million, nine hundred sixty-one thousand, four hundred eight".