146475574641 has 64 divisors (see below), whose sum is σ = 251511402240. Its totient is φ = 83265131520.

The previous prime is 146475574639. The next prime is 146475574643.

146475574641 is a `hidden beast` number, since 1 + 4 + 6 + 4 + 7 + 5 + 574 + 64 + 1 = 666.

146475574641 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (146475574639) and next prime (146475574643).

It is not a de Polignac number, because 146475574641 - 2¹ = 146475574639 is a prime.

It is a super-2 number, since 2×146475574641² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (146475574643) 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, 1429851 + ... + 1528863.

It is an arithmetic number, because the mean of its divisors is an integer number (3929865660).

Almost surely, 2^146475574641 is an apocalyptic number.

146475574641 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

146475574641 is a deficient number, since it is larger than the sum of its proper divisors (105035827599).

146475574641 is a wasteful number, since it uses less digits than its factorization.

146475574641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99343 (or 99337 counting only the distinct ones).

The product of its digits is 11289600, while the sum is 54.

The spelling of 146475574641 in words is "one hundred forty-six billion, four hundred seventy-five million, five hundred seventy-four thousand, six hundred forty-one".