49144631071536 has 640 divisors, whose sum is σ = 192067386900480. Its totient is φ = 11616964531200.

The previous prime is 49144631071519. The next prime is 49144631071553. The reversal of 49144631071536 is 63517013644194.

49144631071536 is a `hidden beast` number, since 4 + 9 + 1 + 4 + 4 + 6 + 31 + 0 + 71 + 536 = 666.

It is an interprime number because it is at equal distance from previous prime (49144631071519) and next prime (49144631071553).

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 29902341 + ... + 31503003.

It is an arithmetic number, because the mean of its divisors is an integer number (300105292032).

Almost surely, 2^{49144631071536} 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 49144631071536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96033693450240).

49144631071536 is an abundant number, since it is smaller than the sum of its proper divisors (142922755828944).

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

49144631071536 is a wasteful number, since it uses less digits than its factorization.

49144631071536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1600782 (or 1600770 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 49144631071536 in words is "forty-nine trillion, one hundred forty-four billion, six hundred thirty-one million, seventy-one thousand, five hundred thirty-six".