46974228480 has 768 divisors, whose sum is σ = 178319232000. Its totient is φ = 11704467456.

The previous prime is 46974228461. The next prime is 46974228493. The reversal of 46974228480 is 8482247964.

46974228480 is a `hidden beast` number, since 4 + 69 + 7 + 422 + 84 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×46974228480² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 527800276 + ... + 527800364.

It is an arithmetic number, because the mean of its divisors is an integer number (232186500).

Almost surely, 2^46974228480 is an apocalyptic number.

46974228480 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 46974228480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89159616000).

46974228480 is an abundant number, since it is smaller than the sum of its proper divisors (131345003520).

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

46974228480 is a wasteful number, since it uses less digits than its factorization.

46974228480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 46974228480 in words is "forty-six billion, nine hundred seventy-four million, two hundred twenty-eight thousand, four hundred eighty".