47457469458432 has 1944 divisors, whose sum is σ = 167835306537990. Its totient is φ = 13401096192000.

The previous prime is 47457469458389. The next prime is 47457469458457. The reversal of 47457469458432 is 23485496475474.

47457469458432 is a `hidden beast` number, since 4 + 7 + 4 + 5 + 7 + 4 + 6 + 9 + 4 + 584 + 32 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 45661697934336 + 1795771524096 = 6757344^2 + 1340064^2 .

It is a tau number, because it is divible by the number of its divisors (1944).

It is a super-2 number, since 2×47457469458432² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 161 ways as a sum of consecutive naturals, for example, 469875935182 + ... + 469875935282.

Almost surely, 2^{47457469458432} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47457469458432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83917653268995).

47457469458432 is an abundant number, since it is smaller than the sum of its proper divisors (120377837079558).

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

47457469458432 is an equidigital number, since it uses as much as digits as its factorization.

47457469458432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 134 counting only the distinct ones).

The product of its digits is 3251404800, while the sum is 72.

The spelling of 47457469458432 in words is "forty-seven trillion, four hundred fifty-seven billion, four hundred sixty-nine million, four hundred fifty-eight thousand, four hundred thirty-two".