46781845913088 has 1920 divisors, whose sum is σ = 171448314605568. Its totient is φ = 12645642240000.

The previous prime is 46781845913069. The next prime is 46781845913141. The reversal of 46781845913088 is 88031954818764.

It is a happy number.

46781845913088 is a `hidden beast` number, since 4 + 6 + 7 + 81 + 8 + 459 + 13 + 0 + 88 = 666.

It is a super-2 number, since 2×46781845913088² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 66735871138 + ... + 66735871838.

Almost surely, 2^{46781845913088} is an apocalyptic number.

46781845913088 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 46781845913088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85724157302784).

46781845913088 is an abundant number, since it is smaller than the sum of its proper divisors (124666468692480).

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

46781845913088 is an equidigital number, since it uses as much as digits as its factorization.

46781845913088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 811 (or 761 counting only the distinct ones).

The product of its (nonzero) digits is 371589120, while the sum is 72.

The spelling of 46781845913088 in words is "forty-six trillion, seven hundred eighty-one billion, eight hundred forty-five million, nine hundred thirteen thousand, eighty-eight".