46747451520 has 384 divisors, whose sum is σ = 201258794880. Its totient is φ = 9713664000.

The previous prime is 46747451507. The next prime is 46747451521. The reversal of 46747451520 is 2515474764.

46747451520 is a `hidden beast` number, since 4 + 6 + 7 + 4 + 74 + 51 + 520 = 666.

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

It is a super-2 number, since 2×46747451520² (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (46747451521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 390820 + ... + 496220.

It is an arithmetic number, because the mean of its divisors is an integer number (524111445).

Almost surely, 2^46747451520 is an apocalyptic number.

46747451520 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 46747451520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100629397440).

46747451520 is an abundant number, since it is smaller than the sum of its proper divisors (154511343360).

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

46747451520 is a wasteful number, since it uses less digits than its factorization.

46747451520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105444 (or 105429 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 45.

The spelling of 46747451520 in words is "forty-six billion, seven hundred forty-seven million, four hundred fifty-one thousand, five hundred twenty".