45902634001 has 27 divisors (see below), whose sum is σ = 54044949627. Its totient is φ = 38873338560.

The previous prime is 45902633993. The next prime is 45902634013. The reversal of 45902634001 is 10043620954.

It is a happy number.

The square root of 45902634001 is 214249.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 34522011601 + 11380622400 = 185801^2 + 106680^2 .

It is not a de Polignac number, because 45902634001 - 2³ = 45902633993 is a prime.

It is a super-2 number, since 2×45902634001² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (45902634091) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 190467241 + ... + 190467481.

It is an arithmetic number, because the mean of its divisors is an integer number (2001664801).

Almost surely, 2^45902634001 is an apocalyptic number.

45902634001 is the 214249-th square number.

45902634001 is the 107125-th centered octagonal number.

It is an amenable number.

45902634001 is a deficient number, since it is larger than the sum of its proper divisors (8142315626).

45902634001 is an frugal number, since it uses more digits than its factorization.

45902634001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 750 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 34.

The spelling of 45902634001 in words is "forty-five billion, nine hundred two million, six hundred thirty-four thousand, one".