49903747141248 has 1536 divisors, whose sum is σ = 202985631313920. Its totient is φ = 11342757888000.

The previous prime is 49903747141181. The next prime is 49903747141253. The reversal of 49903747141248 is 84214174730994.

49903747141248 is a `hidden beast` number, since 4 + 9 + 9 + 0 + 37 + 471 + 4 + 124 + 8 = 666.

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 191 ways as a sum of consecutive naturals, for example, 2997033723 + ... + 2997050373.

It is an arithmetic number, because the mean of its divisors is an integer number (132152103720).

Almost surely, 2^{49903747141248} is an apocalyptic number.

49903747141248 is a gapful number since it is divisible by the number (48) 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 49903747141248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101492815656960).

49903747141248 is an abundant number, since it is smaller than the sum of its proper divisors (153081884172672).

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

49903747141248 is a wasteful number, since it uses less digits than its factorization.

49903747141248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16838 (or 16823 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 63.

The spelling of 49903747141248 in words is "forty-nine trillion, nine hundred three billion, seven hundred forty-seven million, one hundred forty-one thousand, two hundred forty-eight".