46808563538880 has 1120 divisors, whose sum is σ = 195733309685760. Its totient is φ = 10468352286720.

The previous prime is 46808563538873. The next prime is 46808563538911. The reversal of 46808563538880 is 8883536580864.

46808563538880 is a `hidden beast` number, since 4 + 6 + 8 + 0 + 8 + 5 + 6 + 3 + 538 + 8 + 80 = 666.

It is a super-2 number, since 2×46808563538880² (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 junction number, because it is equal to n+sod(n) for n = 46808563538799 and 46808563538808.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 9144080961 + ... + 9144086079.

It is an arithmetic number, because the mean of its divisors is an integer number (174761883648).

Almost surely, 2^{46808563538880} is an apocalyptic number.

46808563538880 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 46808563538880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97866654842880).

46808563538880 is an abundant number, since it is smaller than the sum of its proper divisors (148924746146880).

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

46808563538880 is a wasteful number, since it uses less digits than its factorization.

46808563538880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7639 (or 7620 counting only the distinct ones).

The product of its (nonzero) digits is 1061683200, while the sum is 72.

The spelling of 46808563538880 in words is "forty-six trillion, eight hundred eight billion, five hundred sixty-three million, five hundred thirty-eight thousand, eight hundred eighty".