49063449600 has 924 divisors, whose sum is σ = 199752482880. Its totient is φ = 11844403200.

The previous prime is 49063449583. The next prime is 49063449683. The reversal of 49063449600 is 694436094.

It is a happy number.

49063449600 is a `hidden beast` number, since 4 + 9 + 0 + 6 + 34 + 4 + 9 + 600 = 666.

It is a super-3 number, since 3×49063449600³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 205286281 + ... + 205286519.

Almost surely, 2^49063449600 is an apocalyptic number.

49063449600 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 49063449600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99876241440).

49063449600 is an abundant number, since it is smaller than the sum of its proper divisors (150689033280).

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

49063449600 is a wasteful number, since it uses less digits than its factorization.

49063449600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

It can be divided in two parts, 4906 and 3449600, that added together give a triangular number (3454506 = T₂₆₂₈).

The spelling of 49063449600 in words is "forty-nine billion, sixty-three million, four hundred forty-nine thousand, six hundred".