46975943520 has 1344 divisors, whose sum is σ = 199900431360. Its totient is φ = 10301644800.

The previous prime is 46975943491. The next prime is 46975943537. The reversal of 46975943520 is 2534957964.

46975943520 is a `hidden beast` number, since 4 + 6 + 9 + 75 + 9 + 43 + 520 = 666.

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 (19) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 999488137 + ... + 999488183.

It is an arithmetic number, because the mean of its divisors is an integer number (148735440).

Almost surely, 2^46975943520 is an apocalyptic number.

46975943520 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 46975943520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99950215680).

46975943520 is an abundant number, since it is smaller than the sum of its proper divisors (152924487840).

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

46975943520 is a wasteful number, since it uses less digits than its factorization.

46975943520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 54.

The spelling of 46975943520 in words is "forty-six billion, nine hundred seventy-five million, nine hundred forty-three thousand, five hundred twenty".