49095337312098 has 320 divisors, whose sum is σ = 139631977267200. Its totient is φ = 12522231106560.

The previous prime is 49095337312081. The next prime is 49095337312121. The reversal of 49095337312098 is 89021373359094.

49095337312098 is a `hidden beast` number, since 4 + 9 + 0 + 9 + 53 + 373 + 1 + 209 + 8 = 666.

It is a super-3 number, since 3×49095337312098³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 683676511 + ... + 683748317.

It is an arithmetic number, because the mean of its divisors is an integer number (436349928960).

Almost surely, 2^{49095337312098} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49095337312098, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69815988633600).

49095337312098 is an abundant number, since it is smaller than the sum of its proper divisors (90536639955102).

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

49095337312098 is a wasteful number, since it uses less digits than its factorization.

49095337312098 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72827 (or 72818 counting only the distinct ones).

The product of its (nonzero) digits is 44089920, while the sum is 63.

The spelling of 49095337312098 in words is "forty-nine trillion, ninety-five billion, three hundred thirty-seven million, three hundred twelve thousand, ninety-eight".