49377552627312 has 1200 divisors, whose sum is σ = 183017322808320. Its totient is φ = 12514974087168.

The previous prime is 49377552627287. The next prime is 49377552627317. The reversal of 49377552627312 is 21372625577394.

49377552627312 is a `hidden beast` number, since 4 + 9 + 3 + 7 + 7 + 55 + 262 + 7 + 312 = 666.

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 49377552627312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49377552627317) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 23705017023 + ... + 23705019105.

Almost surely, 2^{49377552627312} is an apocalyptic number.

49377552627312 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 49377552627312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91508661404160).

49377552627312 is an abundant number, since it is smaller than the sum of its proper divisors (133639770181008).

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

49377552627312 is a wasteful number, since it uses less digits than its factorization.

49377552627312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2420 (or 2376 counting only the distinct ones).

The product of its digits is 133358400, while the sum is 63.

The spelling of 49377552627312 in words is "forty-nine trillion, three hundred seventy-seven billion, five hundred fifty-two million, six hundred twenty-seven thousand, three hundred twelve".