1007705667148 has 24 divisors (see below), whose sum is σ = 1840278408192. Its totient is φ = 481914699024.

The previous prime is 1007705667107. The next prime is 1007705667161. The reversal of 1007705667148 is 8417665077001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1007705667095 and 1007705667104.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1089511 + ... + 1789537.

It is an arithmetic number, because the mean of its divisors is an integer number (76678267008).

Almost surely, 2^{1007705667148} is an apocalyptic number.

It is an amenable number.

1007705667148 is a deficient number, since it is larger than the sum of its proper divisors (832572741044).

1007705667148 is a wasteful number, since it uses less digits than its factorization.

1007705667148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 715701 (or 715699 counting only the distinct ones).

The product of its (nonzero) digits is 1975680, while the sum is 52.

The spelling of 1007705667148 in words is "one trillion, seven billion, seven hundred five million, six hundred sixty-seven thousand, one hundred forty-eight".