75414146472 has 256 divisors, whose sum is σ = 244430784000. Its totient is φ = 21096751104.

The previous prime is 75414146453. The next prime is 75414146473. The reversal of 75414146472 is 27464141457.

75414146472 is a `hidden beast` number, since 7 + 541 + 41 + 4 + 64 + 7 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (75414146473) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 74445838 + ... + 74446850.

It is an arithmetic number, because the mean of its divisors is an integer number (954807750).

Almost surely, 2^75414146472 is an apocalyptic number.

75414146472 is a gapful number since it is divisible by the number (72) 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 75414146472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122215392000).

75414146472 is an abundant number, since it is smaller than the sum of its proper divisors (169016637528).

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

75414146472 is a wasteful number, since it uses less digits than its factorization.

75414146472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2017 (or 2007 counting only the distinct ones).

The product of its digits is 752640, while the sum is 45.

The spelling of 75414146472 in words is "seventy-five billion, four hundred fourteen million, one hundred forty-six thousand, four hundred seventy-two".