49614012000 has 1536 divisors, whose sum is σ = 223417958400. Its totient is φ = 10450944000.

The previous prime is 49614011983. The next prime is 49614012037. The reversal of 49614012000 is 21041694.

49614012000 is a `hidden beast` number, since 49 + 614 + 0 + 1 + 2 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×49614012000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 679643964 + ... + 679644036.

It is an arithmetic number, because the mean of its divisors is an integer number (145454400).

Almost surely, 2^49614012000 is an apocalyptic number.

49614012000 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 49614012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111708979200).

49614012000 is an abundant number, since it is smaller than the sum of its proper divisors (173803946400).

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

49614012000 is a wasteful number, since it uses less digits than its factorization.

49614012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 49614012000 its reverse (21041694), we get a palindrome (49635053694).

The spelling of 49614012000 in words is "forty-nine billion, six hundred fourteen million, twelve thousand".