49078199296 has 297 divisors, whose sum is σ = 122142960891. Its totient is φ = 19651129344.

The previous prime is 49078199263. The next prime is 49078199309. The reversal of 49078199296 is 69299187094.

The square root of 49078199296 is 221536.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×49078199296² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1141353451 + ... + 1141353493.

Almost surely, 2^49078199296 is an apocalyptic number.

49078199296 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

49078199296 is the 221536-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49078199296

49078199296 is an abundant number, since it is smaller than the sum of its proper divisors (73064761595).

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

49078199296 is an equidigital number, since it uses as much as digits as its factorization.

49078199296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 17635968, while the sum is 64.

Multiplying 49078199296 by its sum of digits (64), we get a square (3141004754944 = 1772288²).

49078199296 divided by its sum of digits (64) gives a square (766846864 = 27692²).

The spelling of 49078199296 in words is "forty-nine billion, seventy-eight million, one hundred ninety-nine thousand, two hundred ninety-six".