46813613760 has 168 divisors, whose sum is σ = 161689852896. Its totient is φ = 12431646720.

The previous prime is 46813613719. The next prime is 46813613761. The reversal of 46813613760 is 6731631864.

It is a super-2 number, since 2×46813613760² (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (46813613761) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 660357 + ... + 727803.

Almost surely, 2^46813613760 is an apocalyptic number.

46813613760 is a gapful number since it is divisible by the number (40) 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 46813613760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80844926448).

46813613760 is an abundant number, since it is smaller than the sum of its proper divisors (114876239136).

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

46813613760 is a wasteful number, since it uses less digits than its factorization.

46813613760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67711 (or 67698 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 46813613760 in words is "forty-six billion, eight hundred thirteen million, six hundred thirteen thousand, seven hundred sixty".