1147861430100 has 1728 divisors, whose sum is σ = 4902952857600. Its totient is φ = 225062323200.

The previous prime is 1147861430057. The next prime is 1147861430137. The reversal of 1147861430100 is 10341687411.

1147861430100 is a `hidden beast` number, since 1 + 1 + 4 + 7 + 8 + 614 + 30 + 1 + 0 + 0 = 666.

It is a super-2 number, since 2×1147861430100² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 7311219222 + ... + 7311219378.

Almost surely, 2^{1147861430100} is an apocalyptic number.

1147861430100 is a gapful number since it is divisible by the number (10) 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 1147861430100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2451476428800).

1147861430100 is an abundant number, since it is smaller than the sum of its proper divisors (3755091427500).

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

1147861430100 is a wasteful number, since it uses less digits than its factorization.

1147861430100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 1147861430100 in words is "one trillion, one hundred forty-seven billion, eight hundred sixty-one million, four hundred thirty thousand, one hundred".