49186792004460 has 288 divisors, whose sum is σ = 151693862880000. Its totient is φ = 11899490803200.

The previous prime is 49186792004387. The next prime is 49186792004473. The reversal of 49186792004460 is 6440029768194.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 49186792004394 and 49186792004403.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14057383791 + ... + 14057387289.

Almost surely, 2^{49186792004460} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49186792004460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75846931440000).

49186792004460 is an abundant number, since it is smaller than the sum of its proper divisors (102507070875540).

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

49186792004460 is a wasteful number, since it uses less digits than its factorization.

49186792004460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6973 (or 6960 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 60.

The spelling of 49186792004460 in words is "forty-nine trillion, one hundred eighty-six billion, seven hundred ninety-two million, four thousand, four hundred sixty".