49925077429248 has 2112 divisors, whose sum is σ = 191277926461440. Its totient is φ = 12676242604032.

The previous prime is 49925077429153. The next prime is 49925077429267. The reversal of 49925077429248 is 84292477052994.

It is a happy number.

49925077429248 is a `hidden beast` number, since 4 + 9 + 9 + 2 + 507 + 74 + 2 + 9 + 2 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 40359803286 + ... + 40359804522.

Almost surely, 2^{49925077429248} is an apocalyptic number.

49925077429248 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 49925077429248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95638963230720).

49925077429248 is an abundant number, since it is smaller than the sum of its proper divisors (141352849032192).

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

49925077429248 is a wasteful number, since it uses less digits than its factorization.

49925077429248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1372 (or 1342 counting only the distinct ones).

The product of its (nonzero) digits is 731566080, while the sum is 72.

The spelling of 49925077429248 in words is "forty-nine trillion, nine hundred twenty-five billion, seventy-seven million, four hundred twenty-nine thousand, two hundred forty-eight".