900661417348 has 576 divisors, whose sum is σ = 2246078464000. Its totient is φ = 314344800000.

The previous prime is 900661417343. The next prime is 900661417349. The reversal of 900661417348 is 843714166009.

It is a super-2 number, since 2×900661417348² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (900661417343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5964645073 + ... + 5964645223.

Almost surely, 2^900661417348 is an apocalyptic number.

900661417348 is a gapful number since it is divisible by the number (98) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 900661417348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1123039232000).

900661417348 is an abundant number, since it is smaller than the sum of its proper divisors (1345417046652).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

900661417348 is a wasteful number, since it uses less digits than its factorization.

900661417348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 49.

The spelling of 900661417348 in words is "nine hundred billion, six hundred sixty-one million, four hundred seventeen thousand, three hundred forty-eight".