49295193948 has 768 divisors, whose sum is σ = 183162470400. Its totient is φ = 11040675840.

The previous prime is 49295193881. The next prime is 49295193949. The reversal of 49295193948 is 84939159294.

49295193948 is a `hidden beast` number, since 4 + 9 + 29 + 519 + 3 + 94 + 8 = 666.

It is a super-2 number, since 2×49295193948² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49295193949) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 211567240 + ... + 211567472.

It is an arithmetic number, because the mean of its divisors is an integer number (238492800).

Almost surely, 2^49295193948 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 49295193948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91581235200).

49295193948 is an abundant number, since it is smaller than the sum of its proper divisors (133867276452).

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

49295193948 is a wasteful number, since it uses less digits than its factorization.

49295193948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 391 counting only the distinct ones).

The product of its digits is 25194240, while the sum is 63.

The spelling of 49295193948 in words is "forty-nine billion, two hundred ninety-five million, one hundred ninety-three thousand, nine hundred forty-eight".