1034629677648 has 60 divisors (see below), whose sum is σ = 3309172702368. Its totient is φ = 295608479040.

The previous prime is 1034629677647. The next prime is 1034629677703. The reversal of 1034629677648 is 8467769264301.

It is a happy number.

1034629677648 is a `hidden beast` number, since 1 + 0 + 3 + 462 + 9 + 67 + 76 + 48 = 666.

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 (1034629677643) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 513208158 + ... + 513210173.

Almost surely, 2^{1034629677648} is an apocalyptic number.

1034629677648 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1034629677648 is an abundant number, since it is smaller than the sum of its proper divisors (2274543024720).

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

1034629677648 is a wasteful number, since it uses less digits than its factorization.

1034629677648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1026418352 (or 1026418343 counting only the distinct ones).

The product of its (nonzero) digits is 73156608, while the sum is 63.

The spelling of 1034629677648 in words is "one trillion, thirty-four billion, six hundred twenty-nine million, six hundred seventy-seven thousand, six hundred forty-eight".