2125634829948 has 252 divisors, whose sum is σ = 6547379056680. Its totient is φ = 601748046144.

The previous prime is 2125634829917. The next prime is 2125634829949. The reversal of 2125634829948 is 8499284365212.

2125634829948 is a `hidden beast` number, since 2 + 1 + 2 + 5 + 63 + 482 + 9 + 94 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2125634829949) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 15506115 + ... + 15642597.

Almost surely, 2^{2125634829948} is an apocalyptic number.

2125634829948 is a gapful number since it is divisible by the number (28) 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 2125634829948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3273689528340).

2125634829948 is an abundant number, since it is smaller than the sum of its proper divisors (4421744226732).

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

2125634829948 is a wasteful number, since it uses less digits than its factorization.

2125634829948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136628 (or 136604 counting only the distinct ones).

The product of its digits is 59719680, while the sum is 63.

The spelling of 2125634829948 in words is "two trillion, one hundred twenty-five billion, six hundred thirty-four million, eight hundred twenty-nine thousand, nine hundred forty-eight".