49204958609408 has 960 divisors, whose sum is σ = 124693859082240. Its totient is φ = 18965908684800.

The previous prime is 49204958609381. The next prime is 49204958609461. The reversal of 49204958609408 is 80490685940294.

It is a super-2 number, since 2×49204958609408² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 674040528860 + ... + 674040528932.

It is an arithmetic number, because the mean of its divisors is an integer number (129889436544).

Almost surely, 2^{49204958609408} 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 49204958609408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62346929541120).

49204958609408 is an abundant number, since it is smaller than the sum of its proper divisors (75488900472832).

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

49204958609408 is an equidigital number, since it uses as much as digits as its factorization.

49204958609408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 179159040, while the sum is 68.

The spelling of 49204958609408 in words is "forty-nine trillion, two hundred four billion, nine hundred fifty-eight million, six hundred nine thousand, four hundred eight".