46830671484480 has 2240 divisors, whose sum is σ = 200672244799488. Its totient is φ = 10253630177280.

The previous prime is 46830671484383. The next prime is 46830671484517. The reversal of 46830671484480 is 8448417603864.

46830671484480 is a `hidden beast` number, since 4 + 6 + 8 + 3 + 0 + 6 + 7 + 148 + 4 + 480 = 666.

It is a super-2 number, since 2×46830671484480² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 7635847494 + ... + 7635853626.

Almost surely, 2^{46830671484480} is an apocalyptic number.

46830671484480 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 46830671484480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100336122399744).

46830671484480 is an abundant number, since it is smaller than the sum of its proper divisors (153841573315008).

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

46830671484480 is a wasteful number, since it uses less digits than its factorization.

46830671484480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6266 (or 6247 counting only the distinct ones).

The product of its (nonzero) digits is 99090432, while the sum is 63.

The spelling of 46830671484480 in words is "forty-six trillion, eight hundred thirty billion, six hundred seventy-one million, four hundred eighty-four thousand, four hundred eighty".