49136544000 has 864 divisors, whose sum is σ = 188027723520. Its totient is φ = 12773376000.

The previous prime is 49136543993. The next prime is 49136544007. The reversal of 49136544000 is 44563194.

It is an interprime number because it is at equal distance from previous prime (49136543993) and next prime (49136544007).

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49136544007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 552095956 + ... + 552096044.

It is an arithmetic number, because the mean of its divisors is an integer number (217624680).

Almost surely, 2^49136544000 is an apocalyptic number.

49136544000 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 49136544000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94013861760).

49136544000 is an abundant number, since it is smaller than the sum of its proper divisors (138891179520).

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

49136544000 is an frugal number, since it uses more digits than its factorization.

49136544000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 49136544000 in words is "forty-nine billion, one hundred thirty-six million, five hundred forty-four thousand".