46481028480 has 384 divisors, whose sum is σ = 169787404800. Its totient is φ = 11684597760.

The previous prime is 46481028467. The next prime is 46481028487. The reversal of 46481028480 is 8482018464.

46481028480 is a `hidden beast` number, since 4 + 64 + 8 + 102 + 8 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×46481028480² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46481028487) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24841945 + ... + 24843815.

It is an arithmetic number, because the mean of its divisors is an integer number (442154700).

Almost surely, 2^46481028480 is an apocalyptic number.

46481028480 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 46481028480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84893702400).

46481028480 is an abundant number, since it is smaller than the sum of its proper divisors (123306376320).

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

46481028480 is a wasteful number, since it uses less digits than its factorization.

46481028480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2142 (or 2127 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 45.

The spelling of 46481028480 in words is "forty-six billion, four hundred eighty-one million, twenty-eight thousand, four hundred eighty".