90754146765 has 72 divisors (see below), whose sum is σ = 165322186848. Its totient is φ = 47817617760.

The previous prime is 90754146761. The next prime is 90754146767. The reversal of 90754146765 is 56764145709.

90754146765 is a `hidden beast` number, since 90 + 7 + 541 + 4 + 6 + 7 + 6 + 5 = 666.

It is not a de Polignac number, because 90754146765 - 2² = 90754146761 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90754146761) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2706150 + ... + 2739480.

It is an arithmetic number, because the mean of its divisors is an integer number (2296141484).

Almost surely, 2^90754146765 is an apocalyptic number.

It is an amenable number.

90754146765 is a deficient number, since it is larger than the sum of its proper divisors (74568040083).

90754146765 is an frugal number, since it uses more digits than its factorization.

90754146765 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33443 (or 33422 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The spelling of 90754146765 in words is "ninety billion, seven hundred fifty-four million, one hundred forty-six thousand, seven hundred sixty-five".