49638630453120 has 256 divisors, whose sum is σ = 175819477780800. Its totient is φ = 13235763806208.

The previous prime is 49638630453077. The next prime is 49638630453151. The reversal of 49638630453120 is 2135403683694.

49638630453120 is a `hidden beast` number, since 4 + 9 + 6 + 3 + 8 + 63 + 0 + 453 + 120 = 666.

It is a super-2 number, since 2×49638630453120² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 198543232 + ... + 198793088.

Almost surely, 2^{49638630453120} is an apocalyptic number.

49638630453120 is a gapful number since it is divisible by the number (40) 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 49638630453120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87909738890400).

49638630453120 is an abundant number, since it is smaller than the sum of its proper divisors (126180847327680).

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

49638630453120 is a wasteful number, since it uses less digits than its factorization.

49638630453120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261382 (or 261364 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 54.

The spelling of 49638630453120 in words is "forty-nine trillion, six hundred thirty-eight billion, six hundred thirty million, four hundred fifty-three thousand, one hundred twenty".