46981434024 has 240 divisors, whose sum is σ = 155180430900. Its totient is φ = 13238733312.

The previous prime is 46981433987. The next prime is 46981434029. The reversal of 46981434024 is 42043418964.

46981434024 is a `hidden beast` number, since 469 + 8 + 143 + 40 + 2 + 4 = 666.

46981434024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 45504569124 + 1476864900 = 213318^2 + 38430^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46981434029) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2307762 + ... + 2328030.

Almost surely, 2^46981434024 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 46981434024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77590215450).

46981434024 is an abundant number, since it is smaller than the sum of its proper divisors (108198996876).

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

46981434024 is a wasteful number, since it uses less digits than its factorization.

46981434024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20374 (or 20354 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 46981434024 in words is "forty-six billion, nine hundred eighty-one million, four hundred thirty-four thousand, twenty-four".