49287937370112 has 3072 divisors, whose sum is σ = 195581288448000. Its totient is φ = 12073886023680.

The previous prime is 49287937370101. The next prime is 49287937370173. The reversal of 49287937370112 is 21107373978294.

49287937370112 is a `hidden beast` number, since 4 + 9 + 2 + 87 + 9 + 373 + 70 + 112 = 666.

It is a tau number, because it is divible by the number of its divisors (3072).

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

It is a self number, because there is not a number n which added to its sum of digits gives 49287937370112.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 313935906738 + ... + 313935906894.

It is an arithmetic number, because the mean of its divisors is an integer number (63665784000).

Almost surely, 2^{49287937370112} is an apocalyptic number.

49287937370112 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 49287937370112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97790644224000).

49287937370112 is an abundant number, since it is smaller than the sum of its proper divisors (146293351077888).

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

49287937370112 is a wasteful number, since it uses less digits than its factorization.

49287937370112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 32006016, while the sum is 63.

The spelling of 49287937370112 in words is "forty-nine trillion, two hundred eighty-seven billion, nine hundred thirty-seven million, three hundred seventy thousand, one hundred twelve".