306900977152 has 720 divisors, whose sum is σ = 876666233520. Its totient is φ = 106274488320.

The previous prime is 306900977147. The next prime is 306900977197. The reversal of 306900977152 is 251779009603.

It is a super-2 number, since 2×306900977152² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a junction number, because it is equal to n+sod(n) for n = 306900977096 and 306900977105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 980514148 + ... + 980514460.

It is an arithmetic number, because the mean of its divisors is an integer number (1217591991).

Almost surely, 2^306900977152 is an apocalyptic number.

306900977152 is a gapful number since it is divisible by the number (32) 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 306900977152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438333116760).

306900977152 is an abundant number, since it is smaller than the sum of its proper divisors (569765256368).

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

306900977152 is a wasteful number, since it uses less digits than its factorization.

306900977152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 714420, while the sum is 49.

The spelling of 306900977152 in words is "three hundred six billion, nine hundred million, nine hundred seventy-seven thousand, one hundred fifty-two".