90149462001 has 45 divisors (see below), whose sum is σ = 136837172241. Its totient is φ = 59146651008.

The previous prime is 90149461979. The next prime is 90149462003. The reversal of 90149462001 is 10026494109.

It is a happy number.

The square root of 90149462001 is 300249.

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

It can be written as a sum of positive squares in 4 ways, for example, as 18988564401 + 71160897600 = 137799^2 + 266760^2 .

It is not a de Polignac number, because 90149462001 - 2⁷ = 90149461873 is a prime.

It is not an unprimeable number, because it can be changed into a prime (90149462003) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 197263365 + ... + 197263821.

Almost surely, 2^90149462001 is an apocalyptic number.

90149462001 is the 300249-th square number.

90149462001 is the 150125-th centered octagonal number.

It is an amenable number.

90149462001 is a deficient number, since it is larger than the sum of its proper divisors (46687710240).

90149462001 is an frugal number, since it uses more digits than its factorization.

90149462001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1072 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

Multiplying 90149462001 by its sum of digits (36), we get a square (3245380632036 = 1801494²).

The spelling of 90149462001 in words is "ninety billion, one hundred forty-nine million, four hundred sixty-two thousand, one".