145904629761 has 24 divisors (see below), whose sum is σ = 229960504800. Its totient is φ = 88407748800.

The previous prime is 145904629757. The next prime is 145904629769. The reversal of 145904629761 is 167926409541.

145904629761 is a `hidden beast` number, since 1 + 4 + 5 + 9 + 0 + 4 + 629 + 7 + 6 + 1 = 666.

It is not a de Polignac number, because 145904629761 - 2² = 145904629757 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 145904629698 and 145904629707.

It is not an unprimeable number, because it can be changed into a prime (145904629769) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 301746 + ... + 618756.

It is an arithmetic number, because the mean of its divisors is an integer number (9581687700).

Almost surely, 2^145904629761 is an apocalyptic number.

145904629761 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

145904629761 is a deficient number, since it is larger than the sum of its proper divisors (84055875039).

145904629761 is a wasteful number, since it uses less digits than its factorization.

145904629761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321677 (or 321674 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 145904629761 in words is "one hundred forty-five billion, nine hundred four million, six hundred twenty-nine thousand, seven hundred sixty-one".