46781099568 has 480 divisors, whose sum is σ = 160981696512. Its totient is φ = 12400128000.

The previous prime is 46781099567. The next prime is 46781099597. The reversal of 46781099568 is 86599018764.

46781099568 is a `hidden beast` number, since 4 + 67 + 8 + 1 + 0 + 9 + 9 + 568 = 666.

It is a super-2 number, since 2×46781099568² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (46781099567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 77838468 + ... + 77839068.

Almost surely, 2^46781099568 is an apocalyptic number.

46781099568 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 46781099568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80490848256).

46781099568 is an abundant number, since it is smaller than the sum of its proper divisors (114200596944).

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

46781099568 is a wasteful number, since it uses less digits than its factorization.

46781099568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 753 (or 744 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The spelling of 46781099568 in words is "forty-six billion, seven hundred eighty-one million, ninety-nine thousand, five hundred sixty-eight".