8490010100948 has 48 divisors (see below), whose sum is σ = 15685640880000. Its totient is φ = 4009719656448.

The previous prime is 8490010100917. The next prime is 8490010100981.

8490010100948 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 8490010100899 and 8490010100908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 353017628 + ... + 353041676.

It is an arithmetic number, because the mean of its divisors is an integer number (326784185000).

Almost surely, 2^{8490010100948} is an apocalyptic number.

It is an amenable number.

8490010100948 is a deficient number, since it is larger than the sum of its proper divisors (7195630779052).

8490010100948 is a wasteful number, since it uses less digits than its factorization.

8490010100948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37584 (or 37582 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 44.

It can be divided in two parts, 8490010 and 100948, that added together give a palindrome (8590958).

The spelling of 8490010100948 in words is "eight trillion, four hundred ninety billion, ten million, one hundred thousand, nine hundred forty-eight".