49154184264192 has 960 divisors, whose sum is σ = 164576450218752. Its totient is φ = 12726042624000.

The previous prime is 49154184264179. The next prime is 49154184264217. The reversal of 49154184264192 is 29146248145194.

It is a happy number.

It is a super-2 number, since 2×49154184264192² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 40927713192 + ... + 40927714392.

Almost surely, 2^{49154184264192} is an apocalyptic number.

49154184264192 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49154184264192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82288225109376).

49154184264192 is an abundant number, since it is smaller than the sum of its proper divisors (115422265954560).

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

49154184264192 is a wasteful number, since it uses less digits than its factorization.

49154184264192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1541 (or 1494 counting only the distinct ones).

The product of its digits is 19906560, while the sum is 60.

The spelling of 49154184264192 in words is "forty-nine trillion, one hundred fifty-four billion, one hundred eighty-four million, two hundred sixty-four thousand, one hundred ninety-two".