49801124693664 has 576 divisors, whose sum is σ = 153028935521280. Its totient is φ = 15331534848000.

The previous prime is 49801124693641. The next prime is 49801124693681. The reversal of 49801124693664 is 46639642110894.

It is a happy number.

49801124693664 is a `hidden beast` number, since 4 + 9 + 80 + 1 + 1 + 2 + 469 + 36 + 64 = 666.

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, 7637034724 + ... + 7637041244.

It is an arithmetic number, because the mean of its divisors is an integer number (265675235280).

Almost surely, 2^{49801124693664} 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 49801124693664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76514467760640).

49801124693664 is an abundant number, since it is smaller than the sum of its proper divisors (103227810827616).

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

49801124693664 is a wasteful number, since it uses less digits than its factorization.

49801124693664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7045 (or 7034 counting only the distinct ones).

The product of its (nonzero) digits is 53747712, while the sum is 63.

The spelling of 49801124693664 in words is "forty-nine trillion, eight hundred one billion, one hundred twenty-four million, six hundred ninety-three thousand, six hundred sixty-four".